A farm has chickens and cows. All the cows have 4 legs and all the chickens have 2 legs. All together, there are 82 cow and chicken legs on the farm
Let's assume that the number of chickens is represented by C and the number of cows is represented by W.
Given that the total number of cow and chicken legs on the farm is 82, we can set up the equation:
4W + 2C = 82
Since we know that all the cows have 4 legs and all the chickens have 2 legs, we can further deduce that the total number of animals on the farm is:
W + C = total number of animals on the farm
Simplifying the equation, we get:
W = total number of animals on the farm - C
Substituting this expression for W in the first equation, we get:
4(total number of animals on the farm - C) + 2C = 82
Expanding the equation, we get:
4(total number of animals on the farm) - 4C + 2C = 82
Simplifying further, we get:
4(total number of animals on the farm) - 2C = 82
Now, we can solve this simple equation to find the value of C:
4(total number of animals on the farm) - 2C = 82
2C = 4(total number of animals on the farm) - 82
C = (4(total number of animals on the farm) - 82) / 2
Since the total number of animals on the farm is not given, we cannot determine the exact number of chickens and cows on the farm.